Question

Factor the expression using the GCF.

$15w+65$

Answer 1

Step 1: We have given expression is ($15w+65$)
Now we will find the factors of $\left(15w\right),\left(65\right)$

$$\begin{gathered} 15w=5\times 3\times w \\ 65=5\times 13 \end{gathered}$$

We can see that G.C.F of $\left(15w\right),\left(65\right)$ is $5$
Now we will use the GCF to factor the expression

$$\begin{gathered} 15w+65=3\left(3w\right)+5\left(13\right)\{Rewritetheexpression\} \\ =5(3w+13)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $5(3w+13)$